log(x)+log(3x-13)=log(10)

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Solution for log(x)+log(3x-13)=log(10) equation: 


Simplifying
log(x) + log(3x + -13) = log(10)

Multiply glo * x
glox + log(3x + -13) = log(10)

Reorder the terms:
glox + glo(-13 + 3x) = log(10)
glox + (-13 * glo + 3x * glo) = log(10)
glox + (-13glo + 3glox) = log(10)

Reorder the terms:
-13glo + glox + 3glox = log(10)

Combine like terms: glox + 3glox = 4glox
-13glo + 4glox = log(10)

Reorder the terms for easier multiplication:
-13glo + 4glox = 10glo

Solving
-13glo + 4glox = 10glo

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-10glo' to each side of the equation.
-13glo + -10glo + 4glox = 10glo + -10glo

Combine like terms: -13glo + -10glo = -23glo
-23glo + 4glox = 10glo + -10glo

Combine like terms: 10glo + -10glo = 0
-23glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-23 + 4x) = 0


Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

Move all terms containing g to the left, all other terms to the right.

Simplifying
glo = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-23 + 4x)' equal to zero and attempt to solve:

Simplifying
-23 + 4x = 0

Solving
-23 + 4x = 0

Move all terms containing g to the left, all other terms to the right.

Add '23' to each side of the equation.
-23 + 23 + 4x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 4x = 0 + 23
4x = 0 + 23

Combine like terms: 0 + 23 = 23
4x = 23

Add '-4x' to each side of the equation.
4x + -4x = 23 + -4x

Combine like terms: 4x + -4x = 0
0 = 23 + -4x

Simplifying
0 = 23 + -4x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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